Q is a rational field. Q[x] is polynomial ring over Q 。(x) is maximal ideal of Q[x]. Take Q[x]/(x) as a module over Q[x]. Then what is Q[x]-module Q[x]/(x) localize at 0??

I think the result is Q[x]/(x) \ otimes_{Q[x]}Q(x) but on the other hand, from another way, I know it should be Q[1/x]/Q.

But how can I prove they are isomorphism?